Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910403143925760 |
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| author | Berinde, Vasile |
| author_facet | Berinde, Vasile |
| contents | We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the results obtained in the case of contractions defined on Banach spaces [Berinde, V.; Păcurar, M. Approximating fixed points of enriched contractions in Banach spaces. J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.]. We illustrate the obtained theoretical results by providing an example of an enriched contraction in a quasi-Banach space which is not a Banach space to show that our new results are effective generalizations of the previous ones in literature. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_05754 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces Berinde, Vasile General Mathematics 47J27, 47H10, 47H09, 65K15 We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the results obtained in the case of contractions defined on Banach spaces [Berinde, V.; Păcurar, M. Approximating fixed points of enriched contractions in Banach spaces. J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.]. We illustrate the obtained theoretical results by providing an example of an enriched contraction in a quasi-Banach space which is not a Banach space to show that our new results are effective generalizations of the previous ones in literature. |
| title | Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces |
| topic | General Mathematics 47J27, 47H10, 47H09, 65K15 |
| url | https://arxiv.org/abs/2404.05754 |